Which of the following sets, given by the roster method, is equal to the set below given in set-builder notation?{x € Z | 0 < x² < 30}O A. {-30, -29, ..., -2,-1, 1, 2,..., 29, 30}O B. {1,2,..., 29, 30}O C. {-5, -4,-3, -2, -1, 1, 2, 3, 4, 5}O D. {0, 1, 2, 3, 4, 5}

The objective of the question is to find the set that matches the set-builder notation {x belongs to…

Answered: Which of the following sets, given by…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} and B={0, 1, 4,9, 16, 25} Relation: R≤BX A such that R = {(25, 5), (9, -3) (1, 1), (0, 0), (25,-5), (1, -1)} Which of the following is NOT true about the relation R? The domain of R are elements of set B and the range of R are elements of set A. R is a function because it is possible to deduce it to the function f(x)=√x When the graph of R is plotted and subjected to the vertical line test it will fail. R is a Many-to-Many relation which has characteristics that makes it an invalid function.
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Which of the following sets, given by the roster method, is equal to the set below given in set-builder notation? {x € Z | 0 < x² < 30} O A. {-30, -29, ..., -2,-1, 1, 2,..., 29, 30} O B. {1,2,..., 29, 30} O C. {-5, -4,-3, -2, -1, 1, 2, 3, 4, 5} O D. {0, 1, 2, 3, 4, 5}